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Finding the Fourth Proportional to 3,736.80, 5,155.20 and 2,164.32

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Solution

The fourth proportional to 3,736.80, 5,155.20 and 2,164.32 is: 2,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.80 : 5,155.20 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    3,736.80/5,155.20 = 2,164.32/x
  3. Step 3: Cross multiply
    3,736.80x = 5,155.20 × 2,164.32
  4. Step 4: Simplify right side
    3,736.80x = 11,157,502.46
  5. Step 5: Solve for x
    x = 11,157,502.46/3,736.80
  6. Step 6: Final answer
    x = 2,985.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.